Free motion on the Poisson plane and sphere
dg-ga
2008-02-03 v1 Differential Geometry
Abstract
Poisson plane and sphere --- homogeneous spaces of Poisson groups E(2) and SU(2) (resp.) --- have phase spaces (corresponding symplectic groupoids), in which a free Hamiltonian is naturally defined. We solve the equations of motion and point out some unexpected features: free motion on the plane is bounded (periodic) and free trajectories on the sphere are all circles except the big ones.
Keywords
Cite
@article{arxiv.dg-ga/9612006,
title = {Free motion on the Poisson plane and sphere},
author = {S. Zakrzewski},
journal= {arXiv preprint arXiv:dg-ga/9612006},
year = {2008}
}
Comments
LaTeX, 9 pages